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| 5) Use the three views of the solid shown below and sketch the 3-D figure on isometric dot paper. Each square is one unit long. Describe your drawing by stating the total number of cubes in the figure and how the cubes are arranged by layers. |
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| Properties of Three-Dimensional Figures |
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| 8) Identify each three-dimensional shape described below. State the number of each figure, and then the name of the shape described. |
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| 9) If a plane slices a regular pyramid as shown below and forms a quadrilateral such that sides “q” and “r” are parallel, what kind of quadrilateral is formed where the plane intersects the pyramid? |
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| 10) What shape is formed by the cross-section of the cube? |
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| 12) All the faces in a regular polyhedron (are or are not) congruent? |
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| 13) Identify each platonic solid described below. State the number of each solid and the name of the solid that is described. |
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| 14) Research the Internet to find the answer to the following questions: The Platonic solids are sometimes also called "cosmic figures". Plato, the Greek mathematician for whom the Platonic Solids are named, equated the cube to the “earth”. To what did he equate (a) the tetrahedron, (b) the icosahedron, (c) the octahedron, and (d) the dodecahedron? |
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| 15) Print out the net below. Cut it out and fold along the edges. Use the flaps to tape the edges together to form a platonic solid. What platonic solid is constructed? |
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| For the rest of the problems in this unit, use 3.14 for “pi” when solving problems that have “pi” in the formulas. |
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| 21) Which of the following statements is true? |
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| Surface Area of a Cylinder |
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| 28) Allen wants to create a paper model of a cylinder. He draws two circles, each having a radius of 3 inches. He wants the height of his cylinder to be 6 inches. He must cut out one more part to complete the model. What shape must he cut out of paper? |
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| Surface Area of a Pyramid |
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| 29) Which is longer, the height of a right pyramid or its slant height? Please explain. |
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| 30) Refer to the regular square pyramid shown below to answer the following questions: (a) What is the perimeter of the square base? (b) What is the length of the slant height of the pyramid? (c) What is the lateral area of the pyramid? (d) What is the surface area of the pyramid? Round the answers to the nearest tenth, when appropriate, and label all answers correctly. |
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| 31) Refer to the regular octagonal pyramid shown below to answer the following questions: (a) What is the perimeter of the base of the pyramid? (b) What is the lateral area of the pyramid? (c) What is the area of the base? (d) What is the surface area of the pyramid? Round the answers to the nearest tenth, when appropriate, and label all answers correctly.
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| 32) Refer to the regular hexagonal pyramid shown below to answer the following questions: (a) What is the length of the apothem of the base? (b) What is the perimeter of the base? (c) What is the area of the base? (d) What is the lateral area? (e) What is the surface area? Round the answers to the nearest tenth, when appropriate, and label all answers correctly. |
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| 33) Explain why the cone shown below is called an “oblique” cone. |
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| 37) Refer to the right cone shown below to answer the following questions: (a) What is the slant height of the cone? (b) What is the lateral area of the cone? (c) What is the surface area of the cone? Round the answers to the nearest tenth and label the answers correctly. |
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| 39) Four parts of a sphere are labeled below. State the letter of each part, and then the correct label. Choose from the following terms: great circle, chord, tangent, and diameter. |
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| 41) Refer to the picture of the Earth shown below to answer the following questions: (a) What is the surface area of the Earth to the nearest square mile? (b) Approximately 30% of the Earth’s surface is land. How many square miles of the Earth is land? |
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| 43) Sphere A has a radius of 3 and a surface area of 9 “pi”. If the radius of Sphere A is doubled to make Sphere B, the surface area of Sphere B is how many times greater than the surface area of Sphere A? |
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| 45) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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